Free Convective MHD Flow of Jeffrey Fluid in a Porous Medium in the Presence of Heat Source/Sink

Authors

  • Aisha Umar Dakin-Gari Federal University Birnin-Kebbi, Nigeria.
  • N. M. Sarki Kebbi State University of Science and Technology, Aliero, Nigeria
  • M. M. Hamza Usmanu Danfodio University Sokoto
  • S. M. Dakin-Gari Kebbi State Polytechnic, Dakingari.
  • I. D. Yale Kebbi State University of Science and Technology, Aliero.

DOI:

https://doi.org/10.57233/ijsgs.v10i1.600

Keywords:

Jeffery fluid, Unsteady free convection, Porous medium, Magnetohydrodynamics (MHD), Heat source/sink

Abstract

The heat and mass transfer being a driving force in MHD oscillatory free convective flow has been a subject of many studies due to the increasing demand associated with transport processes, existing in nature and industrial application. This study is carried out to investigate an effect of heat and mass transfer on unsteady MHD free convective flow of Jeffrey fluid through porous medium in the presence of heat source. The dimensional governing equations were solved by perturbation technique. The solution for the flow characteristics of velocity, temperature and concentration was obtained. The influence of different parameters such as: thermal Grashof number, mass Grashof number, Jeffrey parameter and heat source/sink, Peclet number for heat and mass transfer ), and radiation parameter were investigated on the flow fields and presented graphically. The fluid velocity decreases with increase in Hartmann number (H). It is found that mass transfer rate increases with increase in Peclet number ). It is noticed that rate of mass diffusion decreases with increase in chemical reaction parameter (K). In addition, the temperature profiles depicted that an increase as the values of heat source/sink parameter , heat transfer Peclet number ), and radiation parameter (N) increases respectively.v

The heat and mass transfer being a driving force in MHD oscillatory free convective flow has been a subject of many studies due to the increasing demand associated with transport processes, existing in nature and industrial application. This study is carried out to investigate an effect of heat and mass transfer on unsteady MHD free convective flow of Jeffrey fluid through porous medium in the presence of heat source. The dimensional governing equations were solved by perturbation technique. The solution for the flow characteristics of velocity, temperature and concentration was obtained. The influence of different parameters such as: thermal Grashof number, mass Grashof number, Jeffrey parameter and heat source/sink, Peclet number for heat and mass transfer ), and radiation parameter were investigated on the flow fields and presented graphically. The fluid velocity decreases with increase in Hartmann number (H). It is found that mass transfer rate increases with increase in Peclet number ). It is noticed that rate of mass diffusion decreases with increase in chemical reaction parameter (K). In addition, the temperature profiles depicted that an increase as the values of heat source/sink parameter , heat transfer Peclet number ), and radiation parameter (N) increases respectively.

Author Biographies

Aisha Umar Dakin-Gari, Federal University Birnin-Kebbi, Nigeria.

Department of Mathematics,

Federal University Birnin-Kebbi, Nigeria.

N. M. Sarki, Kebbi State University of Science and Technology, Aliero, Nigeria

Department of Mathematics,

Kebbi State University of Science and Technology, Aliero.

M. M. Hamza, Usmanu Danfodio University Sokoto

Department of Mathematics,

Usmanu Danfodio University Sokoto

S. M. Dakin-Gari, Kebbi State Polytechnic, Dakingari.

Department of Mathematics,

Kebbi State Polytechnic, Dakingari.

I. D. Yale, Kebbi State University of Science and Technology, Aliero.

Department of Mathematics, Kebbi State University of Science and Technology, Aliero.

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Published

2024-03-31

How to Cite

Dakin-Gari, A. U., Sarki, N. M. ., Hamza, M. M. ., Dakin-Gari, S. M. ., & Yale, I. D. . (2024). Free Convective MHD Flow of Jeffrey Fluid in a Porous Medium in the Presence of Heat Source/Sink. International Journal of Science for Global Sustainability, 10(1), 110–122. https://doi.org/10.57233/ijsgs.v10i1.600